What is the Least Common Multiple of 50772 and 50788?

Least common multiple or lowest common denominator (lcd) can be calculated in two way; with the LCM formula calculation of greatest common factor (GCF), or multiplying the prime factors with the highest exponent factor.

Least Common Multiple of 50772 and 50788 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 50772 and 50788, than apply into the LCM equation.

GCF(50772,50788) = 4
LCM(50772,50788) = ( 50772 × 50788) / 4
LCM(50772,50788) = 2578608336 / 4
LCM(50772,50788) = 644652084

Least Common Multiple (LCM) of 50772 and 50788 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 50772 and 50788. First we will calculate the prime factors of 50772 and 50788.

Prime Factorization of 50772

Prime Factorization of 50788

Now multiplying the highest exponent prime factors to calculate the LCM of 50772 and 50788.

LCM(50772,50788) = 2² × 3¹ × 4231¹ × 12697¹
LCM(50772,50788) = 644652084